Non-Archimedean fuzzy metric spaces and Best proximity point theoremsJournal: Sahand Communications in Mathematical Analysis (Vol.9, No. 1)
Publication Date: 2018-01-01
Authors : Mohadeseh Paknazar;
Page : 85-112
Keywords : Fuzzy metric space; Best proximity point; Proximal contraction;
In this paper, we introduce some new classes of proximal contraction mappings and establish best proximity point theorems for such kinds of mappings in a non-Archimedean fuzzy metric space. As consequences of these results, we deduce certain new best proximity and fixed point theorems in partially ordered non-Archimedean fuzzy metric spaces. Moreover, we present an example to illustrate the usability of the obtained results.
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